Abstract
Two simple proofs of Bedrosian theorem are given.
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References
Bedrosian E. A product theorem for Hilbert transform. Proc IEEE, 51: 868–869 (1963)
Brown J L. Analytic signals and product theorems for Hilbert transforms. IEEE Trans Circuits Syst, 11: 790–792 (1974)
Cohen L. Time-Frequency Analysis: Theory & Application. Upper Saddle River, NJ: Prentice-Hall, 1995
Huang N, Shen I, Long S, et al. The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis. Proc R Soc Lond Ser A, 454: 903–995 (1998)
Xu Y, Yan D. The Bedrosian identy for the Hilbert transform of product functions. Proc Amer Math Soc, 134(9): 2719–2728 (2006)
Garnett J B. Bounded Analytic Functions. New York: Academic Press, 1981
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Wang, S. Simple proofs of the Bedrosian equality for the Hilbert transform. Sci. China Ser. A-Math. 52, 507–510 (2009). https://doi.org/10.1007/s11425-009-0001-2
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DOI: https://doi.org/10.1007/s11425-009-0001-2